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Finding the Fourth Proportional to 13,729.23, 18,948.74 and 7,762.77

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Solution

The fourth proportional to 13,729.23, 18,948.74 and 7,762.77 is: 10,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.23 : 18,948.74 = 7,762.77 : x
  2. Step 2: Convert to fraction form
    13,729.23/18,948.74 = 7,762.77/x
  3. Step 3: Cross multiply
    13,729.23x = 18,948.74 × 7,762.77
  4. Step 4: Simplify right side
    13,729.23x = 147,094,671.60
  5. Step 5: Solve for x
    x = 147,094,671.60/13,729.23
  6. Step 6: Final answer
    x = 10,713.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.